Simplifying Expressions and Solving Equations

What is a coefficient in an expression?

• A coefficient is a numerical factor that multiplies a variable in an expression.

• A coefficient is a constant term that does not change in an expression.

• A coefficient is a variable that represents a number in an expression.

• A coefficient is an operation performed on variables in an expression.

What does it mean to solve an equation?

• Finding the value(s) of the variable(s) that make the equation true.

• Determining the number of solutions an equation has.

• Rearranging the equation to isolate the variable.

• Graphing the equation to find its intersection points.

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

• The distributive property states that a + (b + c) = (a + b) + c, meaning you can group numbers in any way.

• The distributive property states that a(b - c) = ab - ac, meaning you can distribute a factor across a difference.

• The distributive property states that a(b + c) = a + b + c, meaning you can add numbers directly without distribution.

What does it mean to isolate a variable?

• To combine like terms in an equation.

• To manipulate the equation so that the variable is on one side by itself.

• To substitute a number for the variable in an equation.

• To eliminate the variable from the equation.

How would you express 'the difference between a number and 7'?

• (x + 7)

• (x - 7)

• (7 - x)

• (x * 7)

How do you check if your solution to an equation is correct?

• By substituting the value back into the original equation to see if both sides are equal.

• By multiplying both sides of the equation by the same number.

• By adding the same number to both sides of the equation.

• By graphing the equation and checking the intersection points.

Define 'simplifying an expression'.

• To reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

• To make an expression longer and more complex.

• To change the variables in an expression to different letters.

• To evaluate the expression to find its numerical value.

What is the solution to the equation 3x + 5 = 20?

• x = 3

• x = 4

• x = 5

• x = 6

What is an expression in mathematics?

• A combination of numbers, variables, and operators that represents a value.

• A single number without any operations.

• A statement that can be true or false.

• A formula that only includes constants.

What is a variable in an equation?

• A variable is a constant value that does not change.

• A variable is a symbol (usually a letter) that represents an unknown value in an equation.

• A variable is a type of equation that has no solution.

• A variable is a number that is always positive.